Worksheet: Addition Patterns

In this worksheet, we will practice identifying, describing, and making addition patterns using methods such as addition tables.

Q1:

Find the missing number in this input-output table.

In 2 5 17 24 31
Out 39 42 61 68
  • A 47
  • B 59
  • C 49
  • D 54
  • E37

Q2:

Sally is investigating patterns in addition sentences with the same sum.

She uses a model to write these expressions which are all equal to 11.

What number is missing?

The first number in each expression follows the pattern add 2.

What pattern do the second numbers follow?

  • Asubtract 2
  • Bmultiply by 2
  • Cadd 2

Investigate other expressions that are equal to 11.

Find the missing number.

Q3:

Sally followed addition and subtraction rules to make a group of subtraction equations.

What do you notice about the differences?

  • AThey are all different and have no pattern.
  • BThe differences follow the pattern subtract 1.
  • CThey are all the same.

Fill in the blank: In a subtraction expression, if I add a number to the minuend and the subtrahend, the difference stays the same.

  • Aadd it to
  • Bsubtract it from

Q4:

Write the next three terms of the following sequence: 2 , 1 , 0 , , , .

  • A 1 , 2 , 3
  • B 2 , 3 , 4
  • C 1 , 2 , 4
  • D 1 , 2 , 3
  • E 2 , 3 , 5

Q5:

Complete the pattern: 9 = 9 , 9 + 1 1 = 2 0 , 9 + 1 1 + 1 3 = 3 3 , , .

  • A 9 + 1 1 + 1 3 + 1 4 = 4 7 , 9 + 1 1 + 1 3 + 1 5 + 1 7 = 6 5
  • B 9 + 1 1 + 1 3 + 1 4 = 4 7 , 9 + 1 1 + 1 3 + 1 4 + 1 5 = 6 2
  • C 9 + 1 1 + 1 3 + 1 5 = 4 8 , 9 + 1 1 + 1 3 + 1 5 + 1 6 = 6 4
  • D 9 + 1 1 + 1 3 + 1 5 = 4 8 , 9 + 1 1 + 1 3 + 1 5 + 1 7 = 6 5

Q6:

Two students are making a number pattern that starts at 3 with the rule add 5.

Rania notices that the units digits are always 3 or 8 and that it follows a repeating pattern: 3, 8, 3, 8. She says that the numbers in the shaded boxes will always have 3 in the units place. Do you agree? Why?

  • A no, because 8 + 5 = 1 3
  • B no, because 3 + 5 = 8
  • C no, because 5 + 5 = 1 0 , and when you add 10 the units digit will change
  • D yes, because 5 + 5 = 1 0 , and the units digit does not change when you add 10
  • Eyes, because 3 + 5 = 8

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